For our solution (REF ) it is important to verify that
\(V_{g}(r)\)  is quite similar in shape to \(\rho ^{p}(r)\)  required from
the modification of the boson-exchange propagator. This is indeed the
case, as shown in the upper part of fig. 2, which displays solution 4
in the tables. Further, the low radius cut-off function \(f_{as}(r)\)  is
shown by the dashed line, which falls off to zero for \(r\rightarrow 0\) . A
transformation to momentum (\(Q\) ) space leads to \(f_{as}(Q)\rightarrow 0\)  for
\(Q\rightarrow \infty \) . Interestingly, this decrease of \(f_{as}(Q)\)  for large
momenta is quite similar to the behaviour of quantum chromodynamics, a
slowly falling coupling strength \(\alpha (Q)\)  related to the property of
asymptotic freedom [1]}.
